Abstract
In this paper we determine all the Hopf q-brace structures on rank one pointed Hopf algebras and compute the socle of each one of them. We also identify which among them are Hopf skew-braces. Then we determine when two Hopf q-brace structures on rank one pointed Hopf algebras are isomorphic, and, finally, we compute all the weak braiding operators on these Hopf algebras.
| Original language | English |
|---|---|
| Article number | 2650149 |
| Journal | Journal of Algebra and its Applications |
| DOIs | |
| State | Accepted/In press - 2025 |
Keywords
- Braid equation
- Hopf algebras
- coalgebras
- non-degenerate solution
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